Anatoly Myachev

## What do these changes do? ~Blocked by #7199~ - [x] first commit message and PR title follow format outlined [here](https://modin.readthedocs.io/en/latest/development/contributing.html#commit-message-formatting) > **_NOTE:_** If you edit the PR title to...

Modin should work correctly with pandas, which uses pyarrow as a backend

1

The main known issue is that Modin's type predetermination system is based on NumPy types. Found in https://github.com/modin-project/modin/pull/7199.

`pd.DataFrame([['a', 'b', 1]]).idxmin(numeric_only=True)` failed with `Internal and external indices on axis 0 do not match.`

Found in https://github.com/modin-project/modin/pull/7042 Due to the fact that `unique` does not return distributed objects, but an array like, getting the result through `self.to_pandas().squeeze(axis=1).unique()` can be faster than using `apply_full_axis` function.

## What do these changes do? - [x] first commit message and PR title follow format outlined [here](https://modin.readthedocs.io/en/latest/development/contributing.html#commit-message-formatting) > **_NOTE:_** If you edit the PR title to match this format,...

Details in https://github.com/modin-project/modin/pull/6955#issue-2147677569

Looks like a similar problem: * test___or__ * test___xor__

Found in https://github.com/modin-project/modin/pull/6954